CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > Main CFD Forum

Solving linear stability eq.

Register Blogs Members List Search Today's Posts Mark Forums Read

Reply
 
LinkBack Thread Tools Display Modes
Old   January 16, 2004, 03:39
Default Solving linear stability eq.
  #1
K S Chang
Guest
 
Posts: n/a
I want to solve the linear stability equation.

Exactly the equation is Rayleigh equation or Orr-Sommerfeld equation.

In my text, there are some methods about temporal stability solution, not about spatial stability.

How can I solve this equation about spatial stability ??

If there is good reference, please introduce to me.

Thanks in advance.
  Reply With Quote

Old   January 19, 2004, 04:47
Default Re: Solving linear stability eq.
  #2
Tom
Guest
 
Posts: n/a
Have a look at the book "Hydrodynamic stability" by Drazin and Reid. It should contain all you need to know.

Tom.

P.S. For marginal stability the spatial and temporal approaches are equivalent.
  Reply With Quote

Old   January 19, 2004, 11:38
Default Re: Solving linear stability eq.
  #3
mp
Guest
 
Posts: n/a
In numerical method, I have used once the Keller-Box method to solve O-S type equation.

You may use Shooting Method!
  Reply With Quote

Old   January 19, 2004, 16:01
Default Re: Solving linear stability eq.
  #4
Prem
Guest
 
Posts: n/a
You could fix the spatial growth rate and then try to solve for Reynolds number as the eigenvalue (if you are doing it the other way around right now).

Prem
  Reply With Quote

Reply

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
Moving mesh Niklas Wikstrom (Wikstrom) OpenFOAM Running, Solving & CFD 122 June 15, 2014 06:20
Orifice Plate with a fully developed flow - Problems with convergence jonmec OpenFOAM Running, Solving & CFD 3 July 28, 2011 05:24
Extrusion with OpenFoam problem No. Iterations 0 Lord Kelvin OpenFOAM 6 April 12, 2011 11:24
Differences between serial and parallel runs carsten OpenFOAM Bugs 11 September 12, 2008 11:16
Could anybody help me see this error and give help liugx212 OpenFOAM Running, Solving & CFD 3 January 4, 2006 18:07


All times are GMT -4. The time now is 12:50.